algebra
posted by chrissi on .
emily is constructing a triangle one side is 3 inches long and another is 5 inches long which of the following is the smallest measure emily could use for the third side of the triangle

no choices shown, but any number x such that 2 < x < 8 will work.
Why those values? Any side of a triangle must be less than the sum of the other two sides. Otherwise they will not reach, even if laid out endtoend. So,
x < 5+3
5 < 3+x
3 < 5+x